102066703560 has 320 divisors, whose sum is σ = 348347926080. Its totient is φ = 26800381440.

The previous prime is 102066703547. The next prime is 102066703561. The reversal of 102066703560 is 65307660201.

102066703560 is a `hidden beast` number, since 1 + 0 + 20 + 6 + 6 + 70 + 3 + 560 = 666.

It is a super-2 number, since 2×102066703560² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (102066703561) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 132039334 + ... + 132040106.

It is an arithmetic number, because the mean of its divisors is an integer number (1088587269).

Almost surely, 2^102066703560 is an apocalyptic number.

102066703560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102066703560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174173963040).

102066703560 is an abundant number, since it is smaller than the sum of its proper divisors (246281222520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102066703560 is a wasteful number, since it uses less digits than its factorization.

102066703560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1370 (or 1357 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 102066703560 in words is "one hundred two billion, sixty-six million, seven hundred three thousand, five hundred sixty".